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**Reducibility of analytic quasi-periodic three-dimensional skew symmetric linear systems with Liouvillean base frequencies.**
*(Chinese.
English summary)*
Zbl 07802326

Summary: In this paper, the authors mainly consider the reducibility of the analytic quasiperiodic three-dimensional skew symmetric linear systems with a class of Liouvillean base frequencies. The authors construct a class of three-dimensional Liouvillean frequencies (including super-Liouvillean frequencies), and the authors prove that under certain nonresonant conditions the system with this kind of base frequencies is rotational reducible with positive Lebesgue measure, provided that the perturbation is small enough.

### MSC:

37J40 | Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol’d diffusion |

34C20 | Transformation and reduction of ordinary differential equations and systems, normal forms |

### References:

[1] | Refernce(1): |

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